Model-based dewarping method and apparatus

ABSTRACT

An apparatus and method for processing a captured image and, more particularly, for processing a captured image comprising a document. In one embodiment, an apparatus comprising a camera to capture documents is described. In another embodiment, a method for processing a captured image that includes a document comprises the steps of distinguishing an imaged document from its background, adjusting the captured image to reduce distortions created from use of a camera and properly orienting the document is described.

This application is a continuation of U.S. application Ser. No.11/368,260 filed Mar. 2, 2006, now U.S. Pat. No. 7,330,604. Thisapplication claims the benefit of U.S. application Ser. No. 11/368,260filed Mar. 2, 2006, which disclosures are incorporated herein byreference.

FIELD

An apparatus and method for processing a captured image and, moreparticularly, for processing a captured image comprising a document.

BACKGROUND

More and more documents are stored in image, or pixel, format instead ofASCII code since storage media, such as CD-ROM, is becoming lessexpensive. These imaged documents are able to be used for reference,searching, or distribution. The stored image of the documents is usuallycaptured by an input device such as a scanner or a digital camera.However, image distortion is a problem when the document content in theimage is captured by a scanner or, even worse, by a digital camera.

FIG. 1-A is a block diagram depicting typical components of a scanner. Ascanner is typically used to capture an image of a document 110. Adocument 110 is placed on the scanner plate 112. A scan head 120, whichis generally comprised of an optical subsystem 122 and a charge-coupleddevice (“CCD”) 124, is moved across the document 110. Although FIG. 1Adepicts only a two dimensional view, the scan head 120 may move acrossthe document in both the direction illustrated by arrow 114 and in adirection orthogonal to arrow 114. The optical subsystem 122 focuseslight reflected from document 110 onto a CCD 124. CCD 124 is oftenimplemented as a two-dimensional array of photosensitive capacitiveelements. When light is incident on the photosensitive elements of theCCD 124, charge is trapped in a depletion region of the semiconductorelements. The amount of charge associated with the photosensitivecapacitive elements is related to the intensity of light incident on therespective elements received over a sampling period. Accordingly, theimage is captured by determining the intensity of incident light at therespective photosensitive capacitive elements via sampling the elements.The analog information produced by the photosensitive capacitiveelements is converted to digital information by an analog-to-digital(A/D) converter 130. An A/D converter 130 may convert the analoginformation received from CCD 124 in either a serial or parallel manner.The converted digital information may be stored in memory 140. Thedigital information is then processed by a processor 150 according tocontrol software stored in ROM 180. The user may control scanningparameters via user interface 170 and the scanned image is outputtedthrough output port 160.

A block diagram of a digital camera is depicted in FIG. 1B. An opticalsubsystem 122 of a digital camera may be used to focus light reflectedfrom a document 110 onto a CCD 124, much as in the scanner. In otherdigital cameras, devices other than a CCD are used to capture the lightreflected from the image, such as CMOS sensors. In the context of adigital camera, as opposed to a scanner, the optical subsystem 122 isnot moved along the surface of the document, as in a scanner. Rather, ina digital camera, the optical system 122 is generally stationary withrespect to the object, such as a document, to be imaged. In addition todigital cameras, photographs captured from film-based cameras may alsobe digitized.

Cameras offer significant advantages over scanners for capturingdocument images and other images. For example, cameras are generallymore portable than scanners. In addition, because scanners require acaptured image to be placed on the scanner plate, cameras are capable ofcapturing a wider array of images than scanners. However, the use ofcameras creates difficulties in image capturing that do not exist whenusing a scanner. For example, light conditions vary when using a camera,whereas the light conditions are generally controlled in scanners. Inaddition, use of a camera introduces image distortions, which may dependon various variables, such as the angle of the camera relative to theimage, the lens used by the camera and its distance from the image,whether the image including a document is situated on a flat or curvedsurface and other factors. Because the scanner utilizes a moving scannerhead, at a fixed distance from a document to be imaged, thesedistortions do not generally occur in scanners.

Much research has been done on solving the problem of image distortion.Brown and Seales proposed a general de-skewing algorithm for arbitrarilywarped documents based on 3D images. (“Image Restoration ArbitrarilyWarped Documents,” IEEE Transactions on Pattern Analysis and MachineIntelligence, Vol. 26, No. 10 (2004).) Zhang, et al developed adepth-from-shading algorithm to process document images captured by aflatbed scanner. (“Restoration of curved Document Images Through 3DShape Modeling,” Proc. of the 6^(th) International Conference onDocument Analysis and Recognition, pp. 10-15 (2004).) But this techniqueis highly dependent on the lighting condition and, therefore, is notsuitable for images captured with a digital camera.

Recognizing that digital cameras are more convenient input devicescompared to scanners, researchers have developed models to reduce imagedistortion problems in images captured by digital cameras. For example,Cao, et al developed a parametrical model to estimate the cylinder shapeof an opened book. (“Rectifying the Bound Document Image Captured by theCamera: A Model Based Approach,” Proc. of the International Conferenceon Document Analysis and Recognition, pp. 71-75 (2003).) A majorlimitation of using this technique is that the model only works when thelens plane of the camera lens is parallel to the surface of the imagedbook. Liang, et al have developed a developable surface to model thepage surface of a book and exploit the properties (parallelism and equalline spacing) of the printed textual content on the page to recover thesurface shape. (“Flattening Curved Documents in Images,” InternationalConference on Computer Vision and Pattern Recognition, pp. 338-345 (June2005).) By using this technique, the lens plane of the camera lens is nolonger required to be parallel to the surface of a book. However, themodels used by both Cao and Liang to correct the distortion on an imageddocument are based on text line information. In other words, thesemodels are highly dependent on the existence of text lines in the imagedbook. If a page of book has many pictures or equations instead of textlines, the Cao and Liang models will not work well.

Therefore, a need continues to exist for an improved apparatus andmethod for capturing images of documents that utilizes the advantages ofcameras over scanners, yet reduces the distortion presented by capturingdocument images via a camera as opposed to a scanner. Preferably, theapparatus and method should be capable of reducing distortion in acaptured image independent of whether text lines are present on theimaged document, thereby allowing for the correction of distortion in acaptured image of document with pictures and equations. In addition, theapparatus and method preferably should not be restricted to images thatare generated when the lens plane of a camera lens is parallel to thesurface of a book.

BRIEF SUMMARY

An apparatus and method for processing a captured image that comprisesan imaged document are described. In one embodiment, the apparatuscomprises a stationary camera, which is utilized to capture the imageddocument. In another embodiment, a non-stationary camera is utilized tocapture the imaged documents. In yet another embodiment, a method forprocessing a captured image that includes a document comprises the stepsof distinguishing an imaged document from its background, adjusting thecaptured image to reduce distortions created from use of a camera andproperly orienting the document. In yet a further embodiment, anapparatus and method for dewarping a captured image of a curved documentis provided.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1A depicts a prior art document scanner.

FIG. 1B depicts a prior art digital camera.

FIG. 2 depicts a general flowchart of a preferred method for processinga captured image.

FIG. 3 depicts a flowchart of another embodiment of a method forprocessing a captured image.

FIG. 4 depicts a flowchart of a method of performing segmentation inaccordance with one of the implementations of the method of imaging adocument disclosed herein.

FIG. 5 depicts a flowchart of one method of performing the random sampleconsensus step illustrated in FIG. 4.

FIG. 6 depicts a flowchart of one method of performing the outlierremoval step illustrated in FIG. 4.

FIG. 7 depicts a flowchart for another method of performing segmentationin accordance with the method of imaging a document disclosed herein.

FIG. 8 depicts a flowchart of one method of performing the distortionremoval steps illustrated in FIG. 2 and FIG. 3.

FIG. 9 depicts a flowchart of one method of performing the lines of textstep illustrated in FIG. 3.

FIG. 10 depicts a flowchart of one method of determining whether adocument is properly oriented in an upright manner in accordance withone implementation of the method of imaging a document disclosed herein.

FIG. 11 depicts one embodiment of an apparatus for capturing andprocessing an image including an imaged document.

FIG. 12 depicts a flowchart of one method of determining whether adocument is oriented in an upright manner in accordance with oneimplementation of the method of imaging a document disclosed herein.

FIG. 13 depicts one embodiment of a system for processing a capturedimage.

FIG. 14 depicts a flowchart of a method of performing image dewarpingaccording to the present invention.

FIG. 15 depicts a flowchart of a method for generating a curvedcoordinate net for an image of a warped document.

FIG. 16 depicts a flowchart of one method of performing the localdirection enhancement step illustrated in FIG. 15.

FIG. 17 depicts a segmented original image to be corrected by the imagedewarping technique of FIG. 14 and illustrates an alternative method ofapplying a curved coordinate net to an image of a warped document.

FIG. 18 depicts an example of an image of a warped document page with acurved coordinate net.

FIG. 19 depicts an image of a document with a stretched,non-proportional rectangular net produced after the stretching step ofFIG. 14.

FIG. 20 depicts a projection diagram in 3D for illustrating the modelused in a preferred embodiment of the present invention for performingthe stretching step of FIG. 14.

FIG. 21 depicts a rectangular net following the adjustment step of FIG.14.

FIG. 22 depicts a projection diagram for further illustrating apreferred model for performing the stretching step of FIG. 14.

FIG. 23 depicts a side view of an opened book for illustrating apreferred model for performing the adjustment step of FIG. 14.

FIG. 24 depicts a projection diagram for further illustrating apreferred model for performing the adjustment step of FIG. 14.

DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS

Embodiments described herein are operable to process an image capturedfrom a camera that comprises a document. Embodiments described hereinare operable to identify the captured document image from itsbackground. After the captured document image is isolated from itsbackground, embodiments described herein are operable to reduce orremove distortions of the captured document image. Embodiments describedherein are also operable to rotate the captured document image to itsproper orientation. Additionally, embodiments described herein providethe user with an evaluation of the success of implementing each of thesteps in its various embodiments.

FIG. 2 depicts a general flowchart of a preferred method for processinga captured image. After start 210, an image is received in step 220. Theimage received in step 220 comprises a document image. The image may bereceived from various sources. For example, in one embodiment, the imagemay be received from a digital camera. In another embodiment, the imagemay be received from a stationary unit comprising a digital camera. Inyet another embodiment, the image may be received from a film photographthat has been digitized. Step 230 operates to identify the captureddocument image from the remainder of the image, or the background. Step230 is referred to as segmentation. This step 230 may operate to detectthe edges of the captured document image. This step 230 may also operateto crop the background of the image from the captured document image soas to separate the document from its background. Step 240, referred toas distortion removal, operates to reduce or remove the distortions ofthe captured document image. Some of the distortions which this step 240may operate to correct are perspective distortions, lens distortions,warping and light distortions. Other distortions may also be correctedin this step 240. Step 250 operates to correct the orientation of thedocument. This step 250 may operate to determine whether the captureddocument image should be in a portrait or landscape orientation and torotate the captured document image accordingly. This step 250 may alsooperate to determine whether the captured document image is upside downand to rotate the captured document image accordingly. In step 260 theprocessed document image is outputted. The processed document image maybe outputted 260 through various means, such as displaying an image ofthe processed document image on a monitor, saving the processed documentimage to a computer file, electronically transmitting the documentimage, or printing the processed document image.

In some embodiments, it may be desirable to perform fewer of the stepsreflected in FIG. 2 or to reverse the order of certain steps. Forexample, some embodiments may only include distortion removal, orsegmentation and distortion removal. In other implementations, it may bedesirable to only perform the distortion removal and orientation steps.

FIG. 3 depicts a flowchart 300 of another embodiment of a method forprocessing a captured image. After start 305, the image is received instep 310. In step 315 the received image is converted into a deviceindependent bit map. In step 320, segmentation is performed utilizing anedge-based segmentation process. The edge-based segmentation process 320identifies the edges of the captured image document to distinguish thecaptured document image from its background.

FIG. 4 depicts a flow chart of one embodiment of an edge basedsegmentation 320. In this embodiment, horizontal and vertical edgepoints are located. This is done by searching for edge points. Edgepoints are determined by identifying portions of the received image thatcontain a transition from the background portion of the received imageto the document portion of the received image. In one embodiment, thereceived image is scanned beginning with the center of the receivedimage 410 and also scanned beginning from the borders of the receivedimage 420. In one embodiment, it is assumed that the document imageoccupies the center of the received image. In another embodiment, it isassumed that the non-text portion of the captured document image has apixel intensity greater than that of its background. In the scanningbeginning from the center of the received image 410, after finding anarea that can be identified as document pixels, the transition tobackground pixels is searched along the scan. In the scanning beginningfrom the border of the received image 420, an area is identified asbackground pixels and the transition to document image pixels isidentified. The process can be performed utilizing either one or both ofthese scans 410, 420. In one embodiment, the received image is scanned410, 420 both in the horizontal and vertical direction.

A random sample consensus step 430 is then performed. FIG. 5 depicts oneembodiment of the random sample consensus step. In this embodiment, therandom sample consensus 430 is executed by selecting two points atrandom 510 from the edge points selected in step 410 and 420. The lineconnecting these two randomly selected points is then calculated 520. Inone embodiment, angle-distance coordinates are used, where the anglevalue corresponds to the angle of the line segment around the center ofthe received image and the distance value corresponds to the distancefrom the center of the received image to the nearest point in the linesegment. In other embodiments, other coordinate systems may be used,including, for example, Cartesian coordinates or polar coordinates.These values are then stored. The process of selecting two random pointsfrom the edge points obtained in 410 and 420 is repeated to obtain asufficient sample group 530. In one embodiment, this process is repeatedfive thousand times, though different sample sizes may be used. Afterthe sampling, the pairs of points that all lie on the same line aregrouped in bins. If the initial edge points selected in 410 and 420accurately represent the edges of the document in the received image,approximately one quarter of the points will be distributed into foursmall ranges corresponding to the four document edges, while theremaining points will be spread generally uniformly over the rest of thepossible coordinates. The four sets of grouped line segments that havethe most grouped line segments 540 and meet a minimum threshold ofgrouped line segments are identified as representing the four edges ofthe document in the received image 550. In one embodiment, thesecollection of line segments are then determined to be the left, right,top and bottom edges according to their relative positions in thereceived image.

After random sample consensus 430 is performed, in one embodiment, anoutlier removal step 440 is performed among the collection of edgepoints to further refine the identification of the document edges. Inone embodiment, depicted in FIG. 6, this is performed by conducting alinear regression between the collection of edge points corresponding toone of the edges of the received document image. In a linear regressiontechnique, a line is drawn attempting to most accurately connect thecollection of edge points 610. If the point furthest from this linearregression line is determined to be a distance sufficiently far from thelinear regression line 620, the point is removed 630 and a new linearregression is performed. This process is repeated until the farthestpoint from the linear regression line is within a threshold value andthe resulting linear regression line is determined to be the edge line.This is performed on each of the four collection of edge pointsrepresenting the four edges of the received image document.

Referring back to FIG. 3, in step 325, a calculation of the accuracy ofthe identification of the edge lines from the edge-based segmentation320 is determined. This step 325 may be referred to as the calculationof the confidence. In one embodiment, the confidence is calculated foreach edge of the received document image and the lowest value isdetermined to be the overall confidence. In another embodiment, thehighest confidence value among the edge lines is determined to be theoverall confidence. In yet another embodiment, a combination of theconfidence of the edge lines is used, such as for example an average ofthe confidence for the line edges, to determine the overall confidence.One embodiment for calculating the confidence of the determination of aparticular line edge is to calculate the ratio between the number ofpixel points remaining in that edge's collection after outlier removal440 and the total number of pixel points that could have been found onthat edge. The confidence determination can be used to improve thedistortion removal 240, 350 of the received document image and can alsobe used to inform a user of the accuracy of the performance of thesystem for a particular received image.

In one embodiment, if edges of a document and text in the image cannotbe found, the processor is programmed to assume the image is anon-document image and leaves it unaltered. The benefit of using thisembodiment is the ability to detect when there is no document in theprovided image at all. This is useful because this embodiment can beused to process a series of images that contain a mixture of pictures ofdocuments and the type of pictures for which people otherwise use theircameras everyday, such as pictures of people or scenery. Detecting theabsence of a document means that those pictures will not be distorted.In step 330, if the confidence in the edge-based segmentation step 320is not sufficiently high, then a content-based segmentation of step 335may also be performed. Alternatively, content-based segmentation may bethe only type of segmentation performed.

The content-based segmentation step 335 uses the text of the capturedimage document to calculate the edge of the captured image document inrelation to the text. One embodiment of a content-based segmentationprocess is depicted in FIG. 7. In the content-based segmentation processof FIG. 7, segmentation is accomplished by identifying connectedcomponents in the received document image 710 and finding the nearestneighbor to those components 720. A connected component refers to a setof pixels in the image where each pixel is black or dark and each isadjacent to at least one other pixel in the set. The centers of theconnected components are then connected into lines 730, which are thenused to determine the border of the text 740. From these borders, amargin is added 750 in order to identify the location of the edge of thereceived document image. Although the size of the margin may vary, inone embodiment, a standard margin is added in step 750.

Referring back to FIG. 3, in step 340 the corners of the captureddocument image are calculated. In one embodiment, the corners may becalculated from the intersection of the edge lines.

As previously described, the distortion removal steps 240, 350 mayinvolve a variety of adjustments to the received image. In oneembodiment, the distortion removal step 240, 350 will adjust thereceived document image to correct for perspective distortions in thereceived image. For example, in situations where the picture is nottaken at an angle directly above and centered upon the document, therewill be a perspective distortion of the received document image.

One embodiment for adjusting the image to correct for perspectivedistortion is depicted in FIG. 8. This embodiment involves mapping a setof image coordinates 810, for example (x, y), to a new set of imagecoordinates, for example (u, v). After the segmentation step 230, 320,335, the four corners of the document are determined 340. Typically, ina document containing perspective distortion, these four corners willcorrespond to a trapezoid, whereas a document should generally have theshape of a rectangle. Thus, in one embodiment, the mapping 810 isperformed between the received trapezoid to the desired rectangle. Oneembodiment for accomplishing this mapping 810 is to utilize ahomogeneous transformation between the non-distorted pixel coordinatesand the distorted pixel coordinates via a homogeneous matrixrepresenting the transform from the distorted pixel coordinate to thenon-distorted pixel coordinate, which is known in the art. The transformcan be calculated by comparing the four corners determined duringsegmentation 230, 320, 335 with a corrected dimensions of thenon-distorted received document image. In one embodiment, the need forcalculating the transform at each pixel point can be avoided by simplycalculating the transform for each line and utilizing linearinterpolation to calculate the new pixel coordinates. After mapping newcoordinates corresponding to a document having a reduced perspectivedistortion, a re-sampling of the pixels is performed 815.

Another aspect of the received image that may be adjusted in thedistortion removal steps 240, 350 is an adjustment for distortionscaused by the camera lens 820. The distortion caused by a camera lensmay create otherwise straight lines to curve. This distortion depends onthe particular lens used and the distance of the camera from thecaptured image. The curvature created by lens distortion will generallybe radial and, therefore, a uniform radial adjustment for the lensdistortion can be performed using a parameter approximating the degreeof lens distortion. This parameter may be either calculated by thesystem or inputted by the user.

Yet another aspect of the received image that may be adjusted in thedistortion removal steps 240, 350 is an adjustment for more than onedistortions. For example, if the imaged document is a page of a book asshown in FIG. 18, the imaged page may have a curved surface, resultingin a curvature or warping distortion. Also, there may be a perspectivedistortion when the imaged document is captured at an oblique angle tothe page. These distortions may both be corrected in the distortionremoval steps 240, 350. A detailed description of a preferred embodimentfor dewarping captured images of books and other documents and, ifrequired, removing perspective distortion from such images, is describedin connection with FIGS. 14-22 below.

Other distortions may also be corrected and the description ofparticular types of distortion herein is not intended to limit the typesof distortion that may be reduced or removed.

In step 365, a thresholding process is performed on the image created instep 360. The thresholding process 365 reduces the color depth of theimage and has the potential advantage of reducing the distortion createdby a flash that may be used when photographing the image. In oneembodiment, the thresholding process 365 reduces the twenty-four bitcolor images to one bit black-and-white images. The potential benefitsof reducing the images to black and white is the reduction of theeffects introduced by the camera's flash and the reduction of the amountof information required by the system 300 to process. The thresholding365 can be performed in a number of ways. One embodiment may utilize adithering technique, which is known in the art. An example of adithering technique may be found in existing image software, such as theSNOWBOUND® IMAGE LIBRARY by Snowbound Software Corporation. Oneshortcoming of using a dithering technique, however, is the introductionof noise into the image. Another embodiment for thresholding 365involves selecting a global threshold for an image. In such a technique,a threshold value is selected. Those pixels having an intensity greaterthan the threshold value are deemed white and the remaining pixels aredeemed black. The threshold value may be selected in a number of ways.In one embodiment, the threshold value is selected and applied for allreceived images. This technique has the shortcoming of not accountingfor the varied lighting conditions in the received images. In anotherembodiment, the threshold value is calculated from an analysis of thereceived image, such as its histogram. In one such embodiment involvingthe analysis of the received image, an assumption is made that thereceived image contains two peaks in its intensity histogramcorresponding to the foreground and background of the received documentimage. This embodiment may not perform well for those images to whichthe assumption does not apply. Another embodiment for thresholding 365is to select a separate threshold value for each pixel in the receivedimage. This embodiment has the advantage of responding to changingconditions within the document, such as lighting changes or backgroundcontrasts. One embodiment of this technique is referred to as adaptivethresholding. In this embodiment, the previous pixel values areconsidered as each new pixel is analyzed for determination of thethreshold value. One way to accomplish this is by calculating theweighted average of each pixel as each progressive pixel of the receivedimage is analyzed. One potential shortcoming of this embodiment is theintroduction of noise if the received image comprises a coloreddocument.

In step 370 the lines of text step is performed. In this step 370, thesystem determines the lines of text in the received document image. FIG.9 depicts one embodiment of the lines of text 370. In one embodiment,the system assumes that the pixels corresponding to text in the receiveddocument image have a lower intensity than the background pixels of thereceived document image. In this embodiment, the sum of the intensitiesof all of the pixels within each of the rows of the received documentimage is calculated 910. These sums are then used to identify localpeaks and valleys in the pixel intensity 920. These peaks and valleysare then analyzed to determine the lines of text in the document. Forexample, if the received document image has black lines of text with awhite background, the lines of pixels that are entirely white will havethe highest total intensities and the lines containing the black textwill have substantially lower pixel intensity. These differences inintensity can then be calculated and the lines of text can thereby bedetermined. In a preferred embodiment, the lines of text step 370 isexecuted both horizontally and vertically across the received documentimage.

Another embodiment for performing the lines of text step 370 is toperform a similar search for the lines of text as that performed in step335. In one such embodiment, the text of the captured document image isidentified and formed into lines. This may be accomplished byidentifying the connected components in the captured document image andfinding the nearest neighbor to those components. A connected componentrefers to a set of pixels in the image where each pixel is black ordarker and each is adjacent to at least one other pixel in the set. Thecenters of the connected components are then connected into lines. Thisprocess is similar to that described in steps 710, 720 and 730 of FIG.7.

Step 375 determines whether the captured document image should be in alandscape or portrait format. In one embodiment, this is accomplished bydetermining whether the adjacent connected components form predominantlyvertical or horizontal lines of text. The process is run once wherelines of text grow out from connected components, in either thehorizontal or vertical directions, depending on the direction of theadjacent connected components. In one embodiment, the directionresulting with the greater number of lines is determined to define thereceived document image's orientation. For example, in a receiveddocument image that has a height greater than its width, if the lines oftext 370 in the vertical direction yields a greater number of lines thanthe lines of text 370 in the horizontal direction, then the receivedimage document is determined to have landscape orientation. As anotherexample, if in the same received image document the lines of text 370 inthe horizontal direction yields a greater number of lines than the linesof text 370 in the vertical direction, then the received image documentis determined to have a portrait orientation.

Step 380 determines the upright orientation of the document. FIG. 10depicts one embodiment of determining whether the received documentimage is properly oriented upright. In one embodiment, each line of textis analyzed. A fewer number of lines of text may be analyzed, but thismay result in a less reliable result. In one embodiment, each line oftext is divided into three sections in step 1010: an ascending section,a middle section and a descending section. English language characterscontain certain inherent statistical characteristics that may be used incertain embodiments to determine the upright orientation of the receiveddocument image. For example, the English language alphabet has only fivecharacters that descend below the bottom boundary of a sentence (i.e. g,j, p, q and y) and has many more characters that ascend above the topboundary of a sentence (e.g. b, d f, h, i, k, l and t). In oneembodiment, this characteristic of the English language characters canbe considered when calculating the respective number of pixels containedin the ascending section and the descending section 1020 and comparingthose pixel densities 1030, 1040. For example, a received document imagehaving English language characters that has more ascending characterpixels than descending character pixels is likely in the uprightposition and does not need to be rotated, whereas if the same documenthas more descending character pixels than ascending character pixels,the document likely needs to be rotated one-hundred and eighty degreesin step 1050.

In other embodiments, other characteristics of English languagecharacters can also be considered. For example, characteristics of pixellocation in the horizontal direction can be considered. Further,non-statistical methods can also be used to determine the uprightorientation of the document, such as optical character recognition(“OCR”). Another embodiment could utilize a neural net approach. Inaddition, similar inherent characteristics can be utilized fornon-English documents. For example, Spanish language characters aresimilar to those in English and will have similar inherentcharacteristics. As another example, Arabic language characters containa greater number of descending characters and embodiments may adjust forthose characteristics accordingly.

FIG. 12 depicts another embodiment for performing step 380 anddetermining whether the received document image is properly orientedupright 380. In one embodiment, the connected components are used todetermine each letter line of text. Each component is classified byheight into two categories, small and large 1210. The center of thelines of text are then determined in step 1220. In one embodiment, thesmall letters' heights are used to determine the center of the line oftext 1220. This may improve the estimate of the line-of-text's center ifit is distorted, such as if it is curved across the page. The largeletters are then matched against the center of the lines of text, andare grouped as ascending or descending based on the relative location tothis center in step 1230. The total number of ascending and descendingletters are then calculated in step 1240. In a typical English languagedocument, the large characters will ascend towards the top of the page.Therefore, in one embodiment, if the number of ascending largecharacters is greater than the number of descending ones, then thedocument does not need to be rotated in step 385 prior to outputting instep 390. If, however, the number of descending large characters isgreater than the number of ascending larger characters, then thedocument is rotated in step 385 prior to outputting in step 390.

The image is then rotated in step 385 according the determinations ofsteps 380 and 375. The new document image is then outputted in step 390.

As discussed above, the system imaged documents may be captured ineither a film camera or digital camera. As an alternative to thesefreeform devices, a stationary camera system may be employed to capturethe imaged documents. FIG. 11 depicts an embodiment for a stationarycamera system for capturing a document image. In this embodiment, thedocument 1110 is placed on the base 1120 of the system. In a preferredembodiment, the base 1120 of the system is of a pre-determined color,which may have the advantage of facilitating the segmentation process,discussed above. Extending from the base 1120 is the stand 1130, whichmay house a camera 1140 and lighting 1150. The camera and lighting maybe permanently housed in the stand 1130 or may be removable oradjustable. The lighting may be placed anywhere on the base 1120 orstand 1130. In another embodiment, no additional lighting is included onthe base 1120 or stand 1130. In still another embodiment, the lightingis separate from the base 1120 or stand 1130. The stationary system isthen coupled to a computer 1160 to perform the above-describedprocessing of the received image document. In another embodiment, thecomputer may also be built into the apparatus. In still anotherembodiment, the captured image document may simply be stored either inthe digital camera 1140 or in another memory source and later coupled toa computer for processing. Such a stationary camera system can be placedas part of a user's workstation in, for example, an office.

There are several advantages of utilizing a stationary camera system asopposed to a freeform camera. For example, in utilizing a stationarycamera system, the amount of perspective distortion may be reduced,since the document is more likely to be perpendicular and centered withrespect to the camera lens. In addition, another advantage may be toallow the system to better adjust for lens distortion, since thedistance between the camera and the lens used will be known, therebyreducing the need to calculate or approximate these parameters. Anotherpotential advantage would be to reduce the distortions created by acamera flash. In a preferred embodiment the lighting 1150 of thestationary system would be positioned so as to reduce glare and otherdistortions created by camera flashes.

Although the use of a stationary camera system may be desirable, suchsystems will not always be practical or available for many documentimaging needs. Thus, a method of removing image distortion caused by awarped surface of an imaged document or book even when the image iscaptured at an oblique angle would be extremely useful. The dewarpingprocess described below in connection with FIGS. 14-22 provides such adistortion removal process. A detailed description of a preferredembodiment for dewarping captured images of books and other documentsand, if required, removing perspective distortion from such images, isdescribed in connection with FIGS. 14-22.

The dewarping process of FIG. 14 may be used for the distortion removalsteps 240, 350 described above in FIGS. 2 and 3. Alternatively, it maybe used as a stand-alone imaging processing technique, or combined withselected steps of the methods described in connection with FIGS. 2 and3, including one or more of the steps of segmentation and imageorientation.

The dewarping process shown in FIG. 14 comprises three steps, whichcollectively transform an image of a warped document to a correspondingimage of the flattened document. This is accomplished by transformingthe imaged document from a curved coordinate system to a Cartesiancoordinate system. In step 10 of this model-based dewarping process, acurved coordinate net 132, as best seen in FIG. 18, is applied to animage 131 of the warped document that is to be transformed. In step 11,the curved coordinate net 132 is stretched to form a rectangularcoordinate net 134 as shown in FIG. 19. In step 12, rectangularcoordinate net 134 in FIG. 19 is adjusted to generate an adjustedrectangular coordinate net 136 as shown in FIG. 21. Rectangularcoordinate net 136 is preferably well-proportioned so that imagedistortion caused by warping of the document originally imaged and ordue to the perspective of the camera is reduced, preferablysubstantially reduced, and more preferably completely removed.

Curved coordinate net 132 in FIG. 18 comprises line segments 33, 34,37-39 and the y-axis 32. Line segments 33, 34, 37-39 are a portion of aseries of concurrent, rather than parallel, straight lines thatgenerally extend in the direction of the y-axis 32, but which intersecton a common vanishing point which is not shown since it is outside ofthe figure. Thus, in the illustrated embodiment, the concurrent linesegments 33, 34, 37-39 are more separated from each other on theirbottom portions and are spaced more closely to each other on their topportions. Further, because the degree of curvature is greater near they-axis 32, which corresponds to the center of the imaged book, the spacebetween line segments is greater the further they are away from they-axis 32. Thus, the space between line segments 33 and 37 is greaterthan the space between the y-axis 32 and line segment 38. Although thereare a number of methods that may be used for applying an appropriatecurved coordinate net 132 to an image 131 of a warped document, twopreferred methods are described below in connection with FIGS. 15-17. Inone embodiment, the concurrent line segments 33, 34, 37-39 and they-axis 32 of the curved coordinate net 132 are determined from thecoordinates of the corners of the imaged book pages. The advantage ofthis technique is that it is independent of text in the captured imageand thus allows pages that include images or formulas to be dewarped.

For each point in FIG. 18, its corresponding coordinate on a Cartesiancoordinate system can be decided by finding its x and y coordinate,respectively on the curved coordinate net 132. Further, every point onthe same line segment (e.g., line segment P′Q′ 39) in FIG. 18 along they-axis 32, should have the same x-coordinate when recovered into anon-distorted image. Also, every point on the same curved line segmentalong the x-axis 31 in FIG. 18, should have the same y-coordinate in anon-distorted image. In one embodiment, the x-coordinate of each pixelon the imaged page is decided by drawing a line from the vanishing pointthrough that pixel and intersecting with the bottom edge 35 of the bookpage in image 131. The distance between the intersection and the y-axis32 is then the x-coordinate of that pixel.

However, it is more complex to determine the y-coordinate of each pixelon the curved coordinate net 132. One method that may be used is todivide each of the concurrent straight-line segments 33, 34, 37-39 thatextend in the direction of the y-axis 32 into many small sections. FIGS.20 and 22 are useful in explaining this process. FIG. 20 depicts aprojection of the book image in image 131 in FIG. 18 on to the pagesurface 142 of the book that was imaged. Although points P(x) and Q(x)are located at two of the opposing corners of the page surface 142, itis to be understood that P(x) can be located at any point on the topcurved edge 144 and Q(x) is located at the intersection of the linesegment on which P(x) lies and the bottom curved edge 146 of the imagedpage surface 142. The same applies to P′(x) and Q′(x) shown in image131.

FIG. 22 is a side view of the projection for line segment P′Q′ 39 on thecurved coordinate net 132 in FIG. 18 to corresponding line segment PQ 68on the page surface 142 of the imaged book. Thus, line segment P′Q′ 39in FIG. 22 is on the image plane 67 and extends in the direction of they-axis 32 and line segment PQ 68 is the projection of P′Q′ 39 on to thepage surface 142. It should be noted that line segment PQ 68 on the pagesurface 142 in FIG. 22 also corresponds to line segment PQ 49 on therectangular net 134 in FIG. 19.

In the projection diagram of FIG. 22, S corresponds to the lens 66 usedto capture the image 131 of the page surface 142 of the imaged book. Theoptical axis of lens 66, which corresponds to the z-axis 65 in FIG. 22,intersects image plane 67 at O and page surface 142 at R. H and I arethe foot points of P and Q on the z-axis 65, respectively. Thus, if ∠PRH=θ, by geometry, the following equations may be derived:

$\frac{SO}{SH} = {{\frac{P^{\prime}O}{PH}\mspace{14mu}{and}\mspace{14mu}\frac{SO}{SI}} = \frac{Q^{\prime}O}{QI}}$To solve for P′O,

$\begin{matrix}{{P^{\prime}O} = {\frac{{SO} \cdot {PH}}{SH} = {\frac{{{SO} \cdot {PR}}\mspace{11mu}\sin\;\theta}{{SR} + {RH}} = \frac{{{SO} \cdot {PR}}\mspace{11mu}\sin\;\theta}{{SR} + {{PR}\mspace{11mu}\cos\;\theta}}}}} & (1)\end{matrix}$Further, by setting SO=f, SR=d, P′O=y_(p′) which is the y-coordinate ofpoint P′ in FIG. 18, PR=y_(p) which is the y-coordinate of point P inFIG. 19, then equation (1) can be rewritten as

$\begin{matrix}{y_{p^{\prime}} = \frac{{fy}_{p}\sin\;\theta}{d + {y_{p}\cos\;\theta}}} & (2)\end{matrix}$Here f, d, and θ can be considered constants if it is assumed that thedistance from the camera lens 66 to every point on the book is the same.Therefore, equation (2) can be simplified by letting

${a = \frac{d}{f\;\sin\;\theta}},{b = \frac{\cos\;\theta}{f\;\sin\;\theta}}$Substituting a and b into equation (2) results in equation (3) below.

$\begin{matrix}{y_{p^{\prime}} = \frac{y_{p}}{a + {by}_{p}}} & (3)\end{matrix}$Equation (3) is the transform function for the y-coordinate between Pand P′. Analogously, by setting Q′O=y_(q′), QR=y_(q), then an equationfor Q and Q′ can be derived:

$\begin{matrix}{y_{q^{\prime}} = \frac{y_{q}}{a + {by}_{q}}} & (4)\end{matrix}$Referring back to FIG. 19, let P₀, P₁, P₂, . . . P_(a) be n+1 pointsseparated evenly on line segment PQ 49. Each point P_(i) has a ycoordinate which can be represented by the y coordinates of point P andpoint Q. For each point P_(i), we have:

$y_{i} = {y_{q}\frac{i}{n}\left( {y_{p} - y_{q}} \right)}$where i is 0, 1, 2, . . . n. Combining with Equation (4), we now haveall the y coordinates on the image plane P₀′, P₁′, P₂′, . . . P_(a)′:

$\begin{matrix}{y_{i^{\prime}} = \frac{y_{i}}{a + {by}_{i}}} & (5)\end{matrix}$

Using equation (5) the line segment P′Q′ 39 is divided into n sections.Dividing all the line segments along the y-axis, the disproportionalrectangular net 134 in FIG. 19 is set up by pixel-to-pixel mapping fromthe curved coordinate net 132 of FIG. 18.

Although the rectangular net 134 in FIG. 19 has parallel vertical linesegments 43-44, 47-49 and parallel horizontal line segments 45, 46, thespace between line segments 43 and 47 are larger than the space betweeny-axis 42 and line segment 48. Therefore, the next step 12 in thedewarping process is to adjust the width between the parallel verticalline segments 43-44, 47-49 of the disproportional rectangular net 134.

Referring to FIG. 23, consider the book surface of the page as acylinder-like surface, if the book is viewed from the bottom side, itshould have a right curved page surface 91 and a left curved pagesurface 92. In FIG. 23, the book spine 80 is located at the origin andthe book is located on the x-y plane. The book side edges 83, 84 areshown as dots from side view. Line segment P_(a)Q_(a) 89 is also shownas a dot that has a distance b_(pq) 86 from PQ 90 (also shown as a dot)on the x-axis 81. To consider the right page and left page separately,an undetermined function b(x) 82 is used to represent every point on theright curved book page surface 91. Therefore, at the origin point 80,b(0)=0.

Referring to FIG. 24 for a detailed description on the adjustment of thelens to object distance. In FIG. 24, P_(a)Q_(a) 78 is a line segment onthe curved page surface and R_(a) is the point on the intersection ofP_(a)Q_(a) 78 and the z-axis 75. P_(a)Q_(a) 78 and z-axis 75 form anangle of θ 71. The adjusted line segment P_(a)Q_(a) 78 is parallel to PQ74 where line segment PQ 74 intersects the z-axis 75 at R. The distancebetween line segment PQ 74 and line segment P_(a)Q_(a) 78 is b_(pq) 72.Therefore, by trigonometry, the length of line segment R_(a)R 73 isb_(pq)/sin θ.

Referring back to FIG. 22, we can now adjust the distance from the lens66 to page surface 142 by subtracting b(x)/sin θ from SR since there isa distance from the book page surface 142 to the table except at thebook spine and book side edges. As a result, d(x)=d(0)−b(x)/sin θ.Substituting this equation into equation (2), yields:

${y_{p^{\prime}}(x)} = \frac{{fy}_{p}\sin\;\theta}{{d(0)} + {y_{p}\cos\;\theta} - {{{b(x)}/\sin}\;\theta}}$$\begin{matrix}{{{y_{p^{\prime}}(x)} - {y_{p^{\prime}}(0)}} = {\frac{{fy}_{p}\sin\;\theta}{{d(0)} + {y_{p}\cos\;\theta} - {{{b(x)}/\sin}\;\theta}} - \frac{{fy}_{p}\sin\;\theta}{{d(0)} + {y_{p}\cos\;\theta}}}} \\{= \frac{{fy}_{p}{b(x)}}{\left( {{d(0)} + {y_{p}\cos\;\theta}} \right)\left( {{d(0)} + {y_{p}\cos\;\theta} - {{{b(x)}/\sin}\;\theta}} \right)}}\end{matrix}$Assuming that b(x)<<d+y_(p) cos θ,

$\begin{matrix}{{{{y_{p^{\prime}}(x)} - {y_{p^{\prime}}(0)}} = \frac{{fy}_{p}{b(x)}}{\left( {{d(0)} + {y_{p}\cos\;\theta}} \right)\left( {{d(0)} + {y_{p}\cos\;\theta}} \right)}}{{{y_{p^{\prime}}(x)} - {y_{p^{\prime}}(0)}} = {C \cdot {b(x)}}}} & (6)\end{matrix}$where C is a constant since f, d(0), θ and y_(p) are all constants oncethe image is captured. And y_(p′) (x) is the line function of top edge36 which has been decided in step 320, 335. By applying equation (6),one can now solve for b(x).

Referring back to FIG. 23, the x-axis 81 is divided into many smallsegments. For each small segment Δx 87 on x-axis 81, there is acorresponding arc 88 on page surface 91. The length of the arc 88 isapproaching a value ΔArc which is equal to (Δx²+Δb²(x))^(1/2) if Δx isvery small. Thus, by letting j(x) correspond to the length of an arcfrom the origin 80 to any point on the page surface 91, we have

${j(x)} = {{\int_{0}^{x}{\Delta\;{Arc}}} = {\int_{0}^{x}{\sqrt{1 + {{d\left( {{b(x)} \cdot {b(x)}} \right)}/{\mathbb{d}x}}} \cdot {\mathbb{d}x}}}}$A similar formula may be written for page surface 92. Once j(x) isobtained, the rectangular net 134 in FIG. 16 can be adjusted to awell-proportioned rectangular net 136 as shown in FIG. 21.

In FIG. 21, the book page shows the result of a de-warping transformfrom the book page in FIG. 18. These results were obtained using animage with a resolution of 2304×1704 and proximately 200 dpi. Thedistance between the lens and the page surface was about 50 cm. Theangle between the lens and book surface was less than 30 degrees.Further, the resulting OCR rate was about 90%.

While the above-described dewarping process works best when thebackground is a dark color, other backgrounds may be employed. Thedewarping embodiment just described is very useful for removingdistortions from an imaged document that has both curvature surface andperspective distortions, even when the imaged document comprisesrelatively few text lines.

A preferred method for generating the curved coordinate net 132 is nowdescribed in connection with FIGS. 15 and 16.

When a book is opened, the page surfaces typically do not lie flat,particularly when the book is thick, and, as a result, the text linesbecome curved. In the method of FIG. 15, the longest lines of text on animaged page are located. A transform based on the most widely separated,longest lines of text is then performed, which in turn may be used togenerate the curved coordinate net 132.

The method of generating the curved coordinate net 132 shown in FIG. 15includes four major steps. First, a step of text area segmentation 1 isused to separate the area in a stored image of a book page that containstext. Second, a step of local direction enhancement 2 is used to revealthe hidden text lines. Third, a text line extraction step 3 is used toestimate a skeleton curve for each text line. The last step is text linecollection 4, which is used to select a suitable polynomial function torepresent the text lines.

In one embodiment, the text area of an imaged document is assumed tocomprise a large area of light space with some dark characters orfigures on it. In order to separate the text area in step 1, a smallsize thumbnail of the original image is generated. Each pixel in thethumbnail is set to black if all the pixels that it represents in theoriginal image are dark, otherwise that pixel is set to white. With thethumbnail image, it is then possible to readily search for the largestconnected white pixels, which will correspond to the imaged page. Thisprocess separates the image of the book page or document from itsbackground, and thus constitutes an alternative method of performing thesegmentation steps 230, 335. Once the book page or document is separatedfrom its background, the text area on the imaged page is identified. Toaccomplish this, a thumbnail inverse sampling method is used, namelyeach pixel in the thumbnail is set to white if it is in the imaged pagearea and the area it covers in the original image has a high intensityvariance and at least one dark pixel. Therefore, a white area in thisthumbnail represents a text area in the original image.

After the text area is obtained, the text area segmentation step 1 isready to be performed. This is especially useful when dealing with animage of an opened book, which will typically comprise two pages. Theprocess is to scan some vertical lines on the page area and find thegaps between text areas. A proper threshold will separate most textareas from the other areas.

In step 2, a local direction enhancement is performed. Although peopleread books “line by line,” there is no geometrical lines in a text line.Instead, people understand that two different characters belong to thesame text line because of the densities of characters, their directions,and text meanings. However, a computer does not know the direction ofcharacters and their meanings. The only information available for animage processor is the local direction of characters based on theirdensities. In one embodiment, the local direction enhancement step 2 isperformed to reveal the hidden text lines by computing the densities ofeach character. FIG. 16 shows a flowchart of a process for performingthe local direction enhancement step 2, which further contains foursub-steps.

First, a text line distance detection step 5 is performed to detect theheight of text lines. The height of text lines is an important factor indetermining the compression rate for the next step 6. In step 6, theinput image is compressed and converted into a binary image. Next, instep 7 a processor is used to compute and enhance a direction-matrix,which represents the local direction of each pixel in an image. In oneembodiment, sixteen predefined directional templates are used toestimate the direction for each pixel. After the direction-matrix iscalculated for each pixel, a smoothing algorithm is used to eliminatenoise in the matrix. In step 8, a direction-matrix-based enhancement isperformed. The direction-matrix and the original image are used to dolocal direction enhancement so as to eliminate any gaps between words inthe same text line and thereby generate a continuous text line. A grayscale image is obtained from the above described enhancement process,which is subsequently processed in the text line extraction step 3 ofFIG. 15.

In the text line extraction step 3, the image from step 2 is convertedinto a binary image. A detail description for each of the sub-steps 5,6, 7, 8 of the local direction enhancement step 2 is provided below.

Preferably the text line distance detection step 5 of FIG. 16 isperformed by generating a thumbnail image similar to that used in thetext area detection step 1. In one embodiment, a thumbnail image whichis four times higher in vertical resolution than that in step 1 is used.The text area is then divided into a plurality of smaller segments. Foreach segment of text area, a rectangular stripe of pixels in the centralportion of the text area is selected. This rectangular stripe of pixelsis preferably set to have the same height as the segment of text areabeing analyzed, but preferable occupies only 1/32 the width of the wholesegment. Each rectangular stripe is then scanned vertically from top tobottom. Based on this scan, the number of pixel lines (L) with at leastone black pixel are counted. In addition, the total number of text lines(C) is counted. Therefore, a rough height of text lines H₀ for each textarea is equal to L/C for that text area. To make the estimation moreaccurate, the height calculation may be repeated while filtering outthose lines with a L/C value greater than 2H₀. This filtering step maybe used to get rid of elements such as pictures. The end result of thisanalysis is the text height H. In the same manner, the average space Sbetween text lines may be calculated. Finally the distance, between textlines is simply the sum of S and H.

In step 6 of FIG. 16, a process to compress the input image and convertit into a binary map is performed. Based on the calculated distancebetween different text lines from step 5, it is possible to select acompression rate such that the input image can be compressed so thatcharacters in the same line connect together, but characters not in thesame line are separated. In one embodiment, a local binary algorithm isthen performed. First, the input image is split into small windowsaccording to a desired compression rate. Then, for each window, thedarkest pixel is identified. If the gray value of the darkest pixel isgreater than a threshold value, or greater than a second threshold valueplus the average gray value of the small window, then the gray value forevery pixel in the same window is set to 255. Otherwise, every pixel ofthe window is set to 0.

In step 7 of FIG. 16, a process to compute and smooth a direction-matrixis performed. In one embodiment, sixteen 9×9 directional templates areused to estimate the direction at each pixel. First, for each pixel inthe imaged page, sixteen sums of gray level values in all sixteendirections provided by the sixteen 9×9 directional templates arecalculated. Next, the maximum, minimum, and average sum of gray levelvalues, which are denoted as sum_max, sum-min, and sum-avg aredetermined. From this, the direction of each pixel may be determined.The direction of a pixel is set by comparing the gray value of a pixel(i,j) (gray_value (i,j)) as follows: If 9*gray_value(i,j)+sum_max+sum-min>3*sum-avg, than the direction at the pixel is setto the direction of the 9×9 directional template which yielded thesum_max, otherwise, the direction of the pixel is set to the directionof the 9×9 directional template which yielded the sum_min. The estimateddirection at each pixel forms a direction-matrix. However, due to thecomplexity of characters in book image, the directions of some pixelsmay not be correct. For example, the direction of a blank block isuseless for revealing text lines. Accordingly, in one embodiment, asmoothing algorithm is used to set the direction of every pixels in thesame vertical line to have the same direction. This can be done byperforming a voting process, which means that the most common directionamong pixels in any vertical line should become the direction of everypixel in the same vertical line.

In step 8, a process to perform direction matrix based enhancement isperformed. Knowing the direction of each pixel, gaps between charactersbelonging to the same text line can be eliminated. This may beaccomplished by averaging the gray value of each pixel with itsneighborhood pixels. After this process, most gaps between neighborcharacters are filled and skeletons of text lines are generated.

Referring back to FIG. 15, the step of text line extraction 3 is nowused to estimate the skeleton curve for each text line revealed in theprevious step. The text lines revealed in the previous step are toothick to extract. Therefore, a thinning process for the enhanced textlines is performed to make the height of each text line to be the sizeof one pixel. A text line collection process that includes the followingsub-steps is then preferably performed. In one embodiment, each textline is detected by setting a vertical detection-band at the middle ofthe page. This will detect most of the long text lines. By detectingwhether the gray values at pixels on the detection-band are black, themiddle point of each text line can be collected. After getting everymiddle point of text lines, each text line from the middle point istraced on both left and right directions. To trace a text line in theleft direction, a trace line of slope K (starting from 0) to trace 0 to12 pixels on the left. If there is a black pixel within 3 pixels aboveor below this trace line, this point is regarded as a point of the textline. This point is recorded and the next point on the line isdetermined. When the new point is found, a new slop is calculated forpurpose of continuing the tracing process. A new slope K can be decidedby the equation ofK=10*K_previous/11+10*(y_new−y_previous)/(x_new−x_previous), wherex_previous and y_previous are the x and y coordinate of the previouslycollected point on a text line and x_new and y_new are the x and ycoordinate of the currently collected point on a text line. This processcan adjust the direction of tracing and will fit the varieties of thewarping of text lines. The process is repeated until meeting the edge ofthe text line or running out of points. While the above process is fortracing the left part of a text line, the trace for the right part issymmetrical. If there are still some non-continuous text lines afterthis process, a self-adaptive collection algorithm can be used to traceeach text line.

Step 4 in FIG. 15 comprises the step of text lines selection andcalculation of a polynomial for generating curved coordinate net 132. Inthis step, lines that are shorter than a predefined amount of thelongest text line are removed. Preferably those that are half the lengthof the longest lines are removed. In addition, lines with left indentare also preferably removed. Two of the longest remaining lines areselected. The end points of these two lines determine the two text edgeson the left side and the right side of the imaged document. Finally, apolynomial function may be used to model the selected text lines. In oneembodiment, the polynomial function is set to the fifth order. Oncepolynomial function for these text lines is obtained, the curvedcoordinate net 132 can be generated for performing the dewarping processof FIG. 14.

Another preferred method for generating the curved coordinate net 132 isnow described in connection with FIG. 17.

The method of FIG. 17 can extract the corners and most importantly, thefunctions of the curved top and bottom edges of a curved page surface ofa book. Referring to FIG. 17, the six corners 21-26 of the pages of animaged book may be calculated by finding the intersecting points of edgelines 19, 20, 27-30. Notice that in FIG. 17, top edges 27, 28 are curvedlines and so are the bottom edges 29, 30. Two side edges 19, 20 arestraight lines. In one embodiment, the calculation of the six corners21-26 and edge lines 19, 20, 27-30 is determined as described below.First, the resolution of the original image is reduced, preferably to100×100 and then converted into a black and white image by using a graylevel threshold. Second, the borders of the white area are found and thevertices of the four borders specified. Third, the top border and bottomborder are used as guidelines to open a series of small windows alongthe top border and bottom border. Fourth, a Canny edge detection isperformed on the small windows and the detection result is combined intotwo curved images, one for the top edge and one for the bottom edge.Fifth, the edges of the images are traced to have a top curved edge27,28 and a bottom curved edge 29,30. The end points of the top curvededge and bottom curved edge become the four corners 21-24. Connectingthe two right corners 22,24 will make a right edge 19 of the book andconnecting the two left corners 21,23 will make a left edge 20 of thebook. The maximum curvature point 25,26 in each of the top curved edge27,28 and bottom curved edge 29,30 becomes the two other corners 25,26and a connection between these two corners 25,26 comprises the spine ofthe book and the y-axis in the curved coordinate net 132. Projections ofthe right edge 19 and left edge 20 can be used to find the vanishingpoint and hence generate the curved coordinate net 132.

The approaches described herein for processing a captured image areapplicable to any type of processing application and (withoutlimitation) are particularly well suited for computer-based applicationsfor processing captured images. The approaches described herein may beimplemented in hardware circuitry, in computer software, or acombination of hardware circuitry and computer software and is notlimited to a particular hardware or software implementation.

FIG. 13 is a block diagram that illustrates a computer system 1300 uponwhich the above-described embodiments of the invention may beimplemented. Computer system 1300 includes a bus 1345 or othercommunication mechanism for communicating information, and a processor1335 coupled with bus 1345 for processing information. Computer system1300 also includes a main memory 1320, such as a random access memory(RAM) or other dynamic storage device, coupled to bus 1345 for storinginformation and instructions to be executed by processor 1335. Mainmemory 1320 also may be used for storing temporary variables or otherintermediate information during execution of instructions to be executedby processor 1335. Computer system 1300 further includes a read onlymemory (ROM) 1325 or other static storage device coupled to bus 1345 forstoring static information and instructions for processor 1335. Astorage device 1330, such as a magnetic disk or optical disk, isprovided and coupled to bus 1345 for storing information andinstructions.

Computer system 1300 may be coupled via bus 1345 to a display 1305, suchas a cathode ray tube (CRT), for displaying information to a computeruser. An input device 1310, including alphanumeric and other keys, iscoupled to bus 1345 for communicating information and command selectionsto processor 1335. Another type of user input device is cursor control1315, such as a mouse, a trackball, or cursor direction keys forcommunication of direction information and command selections toprocessor 1335 and for controlling cursor movement on display 1305. Thisinput device typically has two degrees of freedom in two axes, a firstaxis (e.g. x) and a second axis (e.g. y), that allows the device tospecify positions in a plane.

The methods described herein are related to the use of computer system1300 for processing a captured image. According to one embodiment, theprocessing of the captured image is provided by computer system 1300 inresponse to processor 1335 executing one or more sequences of one ormore instructions contained in main memory 1320. Such instructions maybe read into main memory 1320 from another computer-readable medium,such as storage device 1330. Execution of the sequences of instructionscontained in main memory 1320 causes processor 1335 to perform theprocess steps described herein. One or more processors in amulti-processing arrangement may also be employed to execute thesequences of instructions contained in main memory 1320. In alternativeembodiments, hard-wired circuitry may be used in place of or incombination with software instructions to implement the embodimentsdescribed herein. Thus, embodiments described herein are not limited toany specific combination of hardware circuitry and software.

The term “computer-readable medium” as used herein refers to any mediumthat participates in providing instructions to processor 1335 forexecution. Such a medium may take many forms, including, but limited to,non-volatile media, volatile media, and transmission media. Non-volatilemedia includes, for example, optical or magnetic disks, such as storagedevice 1330. Volatile media includes dynamic memory, such as main memory1320. Transmission media includes coaxial cables, copper wire and fiberoptics, including the wires that comprise bus 1345. Transmission mediacan also take the form of acoustic or light waves, such as thosegenerated during radio wave and infrared data communications.

Common forms of computer-readable media include, for example, a floppydisk, a flexible disk, hard disk, magnetic tape, or any other magneticmedium, a CD-ROM, any other optical medium, punch cards, paper tape, anyother physical medium with patterns of holes, a RAM, a PROM, and EPROM,a FLASH-EPROM, any other memory chip or cartridge, a carrier wave asdescribed hereinafter, or any other medium from which a computer canread.

Various forms of computer readable media may be involved in carrying oneor more sequences of one or more instructions to processor 1335 forexecution. For example, the instructions may initially be carried on amagnetic disk of a remote computer. The remote computer can load theinstructions into its dynamic memory and send the instructions over atelephone line using a modem. A modem local to computer system 1300 canreceive the data on the telephone line and use an infrared transmitterto convert the data to an infrared signal. An infrared detector coupledto bus 1345 can receive data carried in the infrared signal and placethe data on bus 1345. Bus 1345 carries the data to main memory 1320,from which processor 1335 retrieves and executes the instructions. Theinstructions received by main memory 1320 may optionally be stored onstorage device 1330 either before or after execution by processor 1335.

Computer system 1300 also includes a communication interface 1340coupled to bus 1345. Communication interface 1340 provides a two-waydata communication coupling to a network link 1375 that is connected toa local network 1355. For example, communication interface 1340 may bean integrated services digital network (ISDN) card or a modem to providea data communication to a corresponding type of telephone lines. Asanother example, communication interface 1340 may be a local areanetwork (LAN) card to provide a data communication connection to acompatible LAN. Wireless links may also be implemented. In any suchimplementation, communication interface 1340 sends and receiveselectrical, electromagnetic or optical signals that carry digital datastreams representing various types of information.

Network link 1375 typically provides data communication through one ormore networks to other data services. For example, network link 1375 mayprovide a connection through local network 1355 to a host computer 1350or to data equipment operated by an Internet Service Provider (ISP)1365. ISP 1365 in turn provides data communication services through theworld wide packet data communication network commonly referred to as the“Internet” 1360. Local network 1355 and Internet 1360 both useelectrical, electromagnetic or optical signals that carry digital datastreams. The signal through the various networks and the signals onnetwork link 1375 and through communication interface 1340, which carrythe digital data to and from computer system 1300, are exemplary formsof carrier waves transporting the information.

Computer system 1300 can send messages and receive data, includingprogram code, through the network(s), network link 1375 andcommunication interface 1340. In the Internet example, a server 1370might transmit requested code for an application program throughInternet 1360, ISP 1365, local network 1355 and communication interfaced1340. In accordance with the invention, one such downloaded applicationprovides for processing captured images as described herein.

The received code may be executed by processor 1335 as it is received,and/or stored in storage device 1330, or other non-volatile storage forlater execution. In this manner, computer system 1300 may obtainapplication code in the form of a carrier wave.

1. A computerized method for processing a captured image that comprisesan imaged document, said computerized method comprising: isolating theimaged document from background of the captured image based on one ormore lines corresponding to edges of the imaged document; setting acurved coordinate net for the imaged document; stretching the curvedcoordinate net to a rectangular coordinate net; calculating thedeviation between the curved coordinate net and the rectangularcoordinate net; and resampling pixels of the imaged document based onthe calculated deviations.
 2. The computerized method recited in claim1, wherein the curved coordinate net defines coordinates for every pixelforming the imaged document.
 3. The computerized method recited in claim2, further comprising the steps of: mapping coordinates of pixels of theimaged document to coordinates corresponding to the non-distortedperspective of the imaged document based on the calculated deviation. 4.The computerized method recited in claim 3, further comprising the stepsof: rotating the non-distorted imaged document according to adetermination of format of the non-distorted imaged document.
 5. Acomputer system for processing a captured image, the captured imagecomprising an imaged document, the computer system comprising: means forisolating the imaged document from background of the captured imagebased on one or more lines corresponding to edges of the imageddocument; means for setting a curved coordinate net for the imageddocument; means for calculating the deviation between the curvedcoordinate net and a rectangular coordinate net; and means for adjustingthe rectangle coordinate net to a well-proportional rectangularcoordinate net.
 6. The computer system recited in claim 5, furthercomprising: means for mapping coordinates of pixels of the imageddocument to coordinates corresponding to a non-distorted perspective ofthe imaged document based on the computed deviation.
 7. The computersystem recited in claim 6, further comprising: means for rotating thenon-distorted imaged document according to a determination of format ofthe non-distorted imaged document.
 8. A computer system comprising oneor more processors for processing a captured image comprising an imageddocument, the computer system carrying one or more sequences of one ormore instructions which, when executed by the one or more processors,cause the one or more processors to perform the computer-implementedsteps of: isolating the imaged document from background of the capturedimage based on one or more lines corresponding to edges of the imageddocument; setting a curved coordinate net for the imaged document;calculating the deviation between the curved coordinate net and arectangular coordinate net; and adjusting the rectangular coordinate netto a well-proportional rectangular coordinate net.
 9. The computersystem recited in claim 8, wherein the one or more sequences of one ormore instructions further cause the one or more processors to performthe computer-implemented steps of: mapping coordinates of pixels of theimaged document to coordinates corresponding to a non-distortedperspective of the imaged document based on the computed deviation. 10.The computer system recited in claim 9, wherein the one or moresequences of one or more instructions further cause the one or moreprocessors to perform the computer-implemented steps of: rotating thenon-distorted imaged document according to a determination of format ofthe non-distorted imaged document.
 11. A computer readable storagemedium for processing a captured image comprising an imaged document,the computer readable medium carrying one or more sequences of one ormore instructions which, when executed by one or more processors, causethe one or more processors to perform the computer-implemented steps of:isolating the imaged document from background of the captured imagebased on one or more lines corresponding to edges of the imageddocument; setting a curved coordinate net for the imaged document;calculating the deviation between the curved coordinate net and arectangular coordinate net; and adjusting the rectangular coordinate netto a well-proportional rectangular coordinate net.
 12. The computerreadable storage medium recited in claim 11, wherein the one or moresequences of one or more instructions further cause the one or moreprocessors to perform the computer-implemented steps of: mappingcoordinates of pixels of the imaged document to coordinatescorresponding to a non-distorted perspective of the imaged documentbased on the computed deviation.
 13. The computer readable storagemedium recited in claim 12, wherein the one or more sequences of one ormore instructions further cause the one or more processors to performthe computer-implemented steps of: rotating the non-distorted imageddocument according to a determination of format of the non-distortedimaged document.